Easy2 marksMultiple Choice
Decision-making techniquesRisk and UncertaintyExpected Value

ACCA · Question 10 · Decision-making techniques

Section A

EventPro is organizing an outdoor music festival. The profit depends heavily on the weather.
Profits:
Good weather (Probability 0.4): $100,000
Average weather (Probability 0.5): $40,000
Poor weather (Probability 0.1): -$20,000 (Loss)

What is the Expected Value (EV) of the profit for the festival?

Answer options:

A.

$40,000

B.

$58,000

C.

$60,000

D.

$120,000

How to approach this question

Multiply each outcome by its probability and sum the results. Remember to subtract the loss.

Full Answer

B.$58,000✓ Correct
Expected Value = (Outcome 1 * Prob 1) + (Outcome 2 * Prob 2) + (Outcome 3 * Prob 3) EV = ($100,000 * 0.4) + ($40,000 * 0.5) + (-$20,000 * 0.1) EV = $40,000 + $20,000 - $2,000 = $58,000.

Common mistakes

Adding the $2,000 instead of subtracting it because it is a loss.

Practice the full ACCA PM — Performance Management Practice Exam 3

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